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Finding the Fourth Proportional to 17,470.33, 24,105.76 and 10,302.50

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Solution

The fourth proportional to 17,470.33, 24,105.76 and 10,302.50 is: 14,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.33 : 24,105.76 = 10,302.50 : x
  2. Step 2: Convert to fraction form
    17,470.33/24,105.76 = 10,302.50/x
  3. Step 3: Cross multiply
    17,470.33x = 24,105.76 × 10,302.50
  4. Step 4: Simplify right side
    17,470.33x = 248,349,594.46
  5. Step 5: Solve for x
    x = 248,349,594.46/17,470.33
  6. Step 6: Final answer
    x = 14,215.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.